What is the Least Common Multiple of 74040 and 74055?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 74040 and 74055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74040 and 74055, than apply into the LCM equation.

GCF(74040,74055) = 15
LCM(74040,74055) = ( 74040 × 74055) / 15
LCM(74040,74055) = 5483032200 / 15
LCM(74040,74055) = 365535480

Least Common Multiple (LCM) of 74040 and 74055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74040 and 74055. First we will calculate the prime factors of 74040 and 74055.

Prime Factorization of 74040

Prime Factorization of 74055

Now multiplying the highest exponent prime factors to calculate the LCM of 74040 and 74055.

LCM(74040,74055) = 2³ × 3¹ × 5¹ × 617¹ × 4937¹
LCM(74040,74055) = 365535480